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Find the domain and the range of the relation. Determine whether the relation is a function.

StartSet left parenthesis negative 1 comma 0 right parenthesis comma left parenthesis 7 comma 0 right parenthesis comma left parenthesis negative 1 comma 9 right parenthesis comma left parenthesis negative 6 comma negative 9 right parenthesis EndSet{(−1,0),(7,0),(−1,9),(−6,−9)}

Respuesta :

Answer:

Domain: {-6, -1, 7}

Range: {-9, 0, 9}

The relation is not a function.

Step-by-step explanation:

Given the relation: t{(−1,0),(7,0),(−1,9),(−6,−9)}

In the ordered pairs:

  • The domain is the set of all "x" values
  • The range is set of all "y" values
  • We do not need to list any repeated value in the range/domain more than once.

Domain: {-6, -1, 7}

Range: {-9, 0, 9}

Next, we determine whether the relation is a function.

For a relation to be a function, each x must correspond with only one y value.

However, as is observed in the mapping attached below:

  • f(-1)=0
  • f(-1)=9

The x-value (-1) corresponds to two y-values (0 and 9)

Therefore, the relation is not a function.

Ver imagen Newton9022